A Pelton wheel vane directs a horizontal,

circular cross$-$sectional jet of water

symmetrically as indicated in the figure below

and in the Video. The jet leaves the nozzle with

a velocity of $V=108f\frac{t}{s}.$ Determine the $x$

direction component of anchoring force

required to

$($a$)$ hold the vane stationary,

$($b$)$ confine the speed of the vane to a value $U$ of

$7f\frac{t}{s}$ to the right.

The fluid speed magnitude remains constant

along the vane surface.

Assume $D=4$ in$.$

$($a$)F_A=$

$F_A=$